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Inspired by the idea of Bonferroni mean (BM) and geometric Bonferroni mean (GBM), we develop the triangular fuzzy power Bonferroni mean (TFPBM) operator, triangular fuzzy weighted power Bonferroni mean (TFWPBM) operator, the triangular fuzzy power geometric Bonferroni mean (TFPGBM) operator, triangular fuzzy weighted power geometric Bonferroni mean (TFWPGBM) operator. Using the proposed operator, we propose the program for multiple attribute decision making with the triangular fuzzy environments. 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